What is expand (5x^2y-6y)^2 ?

The solution to expand (5x^2y-6y)^2 is 25x^4y^2-60x^2y^2+36y^2

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expand (5x^2y-6y)^2

expand

(5 x^{2} y - 6 y)^{2}

25 x^{4} y^{2} - 60 x^{2} y^{2} + 36 y^{2}

Solution steps

(5 x^{2} y - 6 y)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(5 x^{2} y - 6 y)^{2} = (5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 6 y + (6 y)^{2}

= (5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 6 y + (6 y)^{2}

Simplify

(5 x^{2} y)^{2} - 2 \cdot 5 x^{2} y \cdot 6 y + (6 y)^{2} : 25 x^{4} y^{2} - 60 x^{2} y^{2} + 36 y^{2}

= 25 x^{4} y^{2} - 60 x^{2} y^{2} + 36 y^{2}

(125 x^{9} y^{6})^{\frac{1}{3}}

2 \frac{3}{4} \div 3

m - 3 - 3 m

\frac{12 j ^{5}}{( 3 j ^{4} ) ^{4}}

(5 + 4) (5 - 4)

What is expand (5x^2y-6y)^2 ?
The solution to expand (5x^2y-6y)^2 is 25x^4y^2-60x^2y^2+36y^2